The coefficient of friction of a surface is . what should be the angle of inclination so that a body placed on the surface just begins to slide down?
Step 1: Given
Coefficient of friction,
Step 2: Formula used
, where is the frictional force, is the coefficient of friction and is the normal force.
Step 3: Draw the free body diagram
Friction is balanced by the sine component of the weight of the body and the normal reaction R must be balanced by the cosine component.
Step 4: Determine the angle of inclination
The frictional force is given by,
Therefore, the angle of inclination is .